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A graphical abstract (or visual abstract [1]) is a graphical or visual equivalent of a written abstract. [2] [3] Graphical abstracts are a single image and are designed to help the reader to quickly gain an overview on a scholarly paper, research article, thesis or review: and to quickly ascertain the purpose and results of a given research, as well as the salient details of authors and journal.
For example, the perimeter of a rectangle of width 0.001 and length 1000 is slightly above 2000, while the perimeter of a rectangle of width 0.5 and length 2 is 5. Both areas are equal to 1. Proclus (5th century) reported that Greek peasants "fairly" parted fields relying on their perimeters. [ 2 ]
In more recent years, computer programs have been used to find and calculate more precise approximations of the perimeter of an ellipse. In an online video about the perimeter of an ellipse, recreational mathematician and YouTuber Matt Parker, using a computer program, calculated numerous approximations for the perimeter of an ellipse. [4]
Articles start with a lead section (WP:CREATELEAD) summarising the most important points of the topic.The lead section is the first part of the article; it comes above the first header, and may contain a lead image which is representative of the topic, and/or an infobox that provides a few key facts, often statistical, such as dates and measurements.
Similarly, a comparison can be made between the perimeter of the shape and that of its convex hull, [3] its bounding circle, [1] or a circle having the same area. [1] Other tests involve determining how much area overlaps with a circle of the same area [2] or a reflection of the shape itself. [1]
For example, the perimeter of a regular polygon inscribed in a circle approaches the circumference with increasing numbers of sides (and decrease in the length of one side). In geometric measure theory such a smooth curve as the circle that can be approximated by small straight segments with a definite limit is termed a rectifiable curve . [ 7 ]
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A thesis as a collection of articles [1] or series of papers, [2] also known as thesis by published works, [1] or article thesis, [3] is a doctoral dissertation that, as opposed to a coherent monograph, is a collection of research papers with an introductory section consisting of summary chapters. Other less used terms are "sandwich thesis" and ...